We're dividing 768558 by 54 
Let's see how many times 54 fits into 768558.

Going ahead to step 1:
54 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 54

Moving on to step 2:
If we divide 76 by 54, we get 1 and a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 54 from 76, we get 22.
Bring next digit (8) of the dividend behind the 22 and repeat the process: 228 / 54

Moving on to step 3:
54 goes into 228 4 times with a remainder of 12.
The next digit of our result is 4. 
Result so far: 14.0
Subtract 216 from 228 to get 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 54

Advancing to step 4:
125 divided by 54 is 2 with a remainder of 17.
The number 2 becomes the next digit in our result. 
Result so far: 142.0
Subtract 108 from 125 to get 17.
Bring next digit (5) of the dividend behind the 17 and repeat the process: 175 / 54

Let's proceed to step 5:
54 can be fit into 175 3 times, resulting in a remainder of 13.
The next digit of our result is 3. 
Result so far: 1423.0
The remainder is 13 after subtracting 162 from 175.
Append the next digit (8) from the dividend to 13 and continue with: 138 / 54

Let's proceed to step 6:
When dividing 138 by 54, we get 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 14232.0
Deduct 108 from 138 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
When dividing 300 by 54, we get 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 14232.5
If we subtract 270 from 300, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
The number 54 fits into 300 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 14232.55
If we subtract 270 from 300, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 14232.55 with a balance of 0.03.